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3 years ago

1) Twice a number decreased by four is 32.

Mathematics

1 answer:

LUCKY_DIMON [66]3 years ago

3 0

Answer:

x = 18

Step-by-step explanation:

Twice a number becomes 2x, decreased by 4 becomes -4, and combined those terms equal 32.

2x - 4 = 32

2x - 4 + 4 = 32 + 4 (isolate the variable)

2x = 36

x = 18

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A string passing over a smooth pulley carries a stone at one end. While its other end is attached to a vibrating tuning fork and

nasty-shy [4]

Answer:

correct option is C) 2.8

Step-by-step explanation:

given data

string vibrates form = 8 loops

in water loop formed = 10 loops

solution

we consider mass of stone = m

string length = l

frequency of tuning = f

volume = v

density of stone = $\rho$

case (1)

when 8 loop form with 2 adjacent node is $\frac{\lambda }{2}$

so here

$l = \frac{8 \lambda _1}{2}$ ..............1

$l = 4 \lambda_1\\\\\lambda_1 = \frac{l}{4}$

and we know velocity is express as

velocity = frequency × wavelength .....................2

$\sqrt{\frac{Tension}{mass\ per\ unit \length }}$ = f × $\lambda_1$

here tension = mg

$\sqrt{\frac{mg}{\mu}}$ = f × $\lambda_1$ ..........................3

and

case (2)

when 8 loop form with 2 adjacent node is $\frac{\lambda }{2}$

$l = \frac{10 \lambda _1}{2}$ ..............4

$l = 5 \lambda_1\\\\\lambda_1 = \frac{l}{5}$

when block is immersed

equilibrium eq will be

Tenion + force of buoyancy = mg

T + v × $\rho$ × g = mg

and

T = v × $\rho$ - v × $\rho$ × g

from equation 2

f × $\lambda_2$ = f × $\frac{1}{5}$

$\sqrt{\frac{v\rho _{stone} g - v\rho _{water} g}{\mu}} = f \times \frac{1}{5}$ .......................5

now we divide eq 5 by the eq 3

$\sqrt{\frac{vg (\rho _{stone} - \rho _{water})}{\mu vg \times \rho _{stone}}} = \frac{fl}{5} \times \frac{4}{fl}$

solve irt we get

$1 - \frac{\rho _{stone}}{\rho _{water}} = \frac{16}{25}$

relative density $\frac{\rho _{stone}}{\rho _{water}} = \frac{25}{9}$

relative density = 2.78 ≈ 2.8

so correct option is C) 2.8

3 0

3 years ago

The classrooms are trying to raise $1,200.00 for charity.

Svetradugi [14.3K]

Answer:

The classes need to raise $164.86 more to reach their goal of $1200.

Step-by-step explanation:

$1,200 total

Mrs. LeBlanc's class has raised 50% of the total, so they've raised $600.

1200/2 = 600

Mr. Patel's class has raised $235.14.

235.14 + 600 = 835.14

Ms. Warner's class has raised 1/3 of the total of Mrs. LeBlanc's class ($600), so they've raised $200.

600/3 = 200

835.14 + 200 = 1035.14

The three classes have raised a combined total of $1035.14.

1200 - 1035.14 = 164.86

The classes need to raise $164.86 more to reach their goal of $1200.

5 0

3 years ago

Difference between mafic intermediate and felsic magmas

Inga [223]

Both are indicators of the chemical composition of silicate minerals, magmas and rocks.

Mafic is used for silicate minerals, magmas and rocks that are composed of heavier elements, like magnesium, iron, calcium and sodium. They are dark and have high specific gravities.

<span>Opposite to the this, felsic silicate minerals, magmas and rocks in their composition have less from these heavy elements. They are composed from silicon, oxygen, aluminium and potassium, are light in color and have lower specific gravities.</span>

8 0

3 years ago

PLEASE I NEED HELP QUICKLY!!

Savatey [412]

Answer:tiz x

Step-by-step explanation:

7 0

2 years ago

The three interior angle measures of this triangle are x = <br> °, y = <br> °, and z =

tankabanditka [31]

check the picture below.

recall that a flat-line is always 180°, and the sum of all interior angles in a triangle is 180°.